A solid cylinder of uniform density of 0.85 g/cm^3 floats in a glass of water ti

Question

A solid cylinder of uniform density of 0.85 g/cm^3 floats in a glass of water tinted light blue by food coloring. Its circular surfaces are horizontal. What effect will the following changes, each made to the initial system, have on X, the height of the upper surface above the water? The liquids added do not mix with the water, and the cylinder never hits the bottom. A liquid with a density of 1.06 g/cm^3 is poured into the glass. The cylinder is replaced with one that has the same height and diameter, but with density of 0.83 g/cm^3. The cylinder is replaced with one that has the same density and diameter, but with 1.5 times the height. A liquid with a density of 0.76 g/cm^3 is poured into the glass. Some of the water is removed from the glass. The cylinder is replaced with one that has the same density and height, but 1.5 times the diameter.

Explanation / Answer

1. No change

2. Increase

3. Increase

4. Increase

5. No change

6. No change

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